Department of Particle Physics and Astrophysics

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Yitzhak Frishman

Professor Emeritus
Location:Edna and K.B. Weissman Building of Physical Sciences, Room 319

Current Research Interests

The main line of research is in the area of non-abelian gauge theories, which within the standard model describe strong, electromagnetic and weak interactions as observed in Nature.

A particular aspect is that of deep-inelastic scattering of electrons, muons and neutrinos off hadrons. In that connection, we developed the structure of operator products, in particular currents, at almost light-like distances (see 1).
This expansion is a standard tool in investigating scattering experiments as above.
The leading experimentalists in those experiments, Friedman and Kendall and Taylor, received a Nobel prize in 1990.

Another aspect is that of describing energy and momentum in terms of products of currents.
We generalized the Sugawara construction to the non-abelian case, where the normal ordering effects had to be taken into account, obtaining the second Casimir dependence in the coefficients.
These expressions are now being used in Conformal Field Theory as well as in String Theory (see 2).

To obtain the spectrum and various other properties of states, strong coupling methods have to be developed. These we did in two dimensional models (see 3 for review).

Issues of confinement and screening in non-abelian gauge theories have also been addressed. In particular, the string tension was computed in various cases in model theories in two dimensions.
We have also computed the effective potential for meson-baryon scattering, and then the transmission and reflection amplitudes (see papers in 4). 

We now have a book, together with Jacob Sonnenschein, on various non-perturbative methods in field theory, starting from one space dimension and going to three space dimensions (see 5), published by Cambridge University Press.

  1. Y. Frishman
    "Scale invariance and current commutators near the light cone'',
    Phys. Rev. Lett. vol 25, page 966 (1970).
  2. R. Dashen and Y. Frishman
    "Four-fermion interactions and scale invariance'',
    Phys. Rev. vol D11, page 2781 (1975).
  3. Y. Frishman and J. Sonnenschein
    "Bosonization and  QCD in Two Dimensions'',
    Physics Reports, vol 223, No 6 (1993).
  4. See papers in hep-th and hep-ph of
  5. Yitzhak Frishman and Jacob Sonnenschein
    "Non-Perturbative Field Theory -- From two dimensional conformal field theory to QCD in four dimensions",
    Cambridge University Press, Apr 2010, 436 pages.
    Summary note for the book is in e-Print: arXiv:1004.4859 [hep-th]